Circular garden

Alice creates a circular vegetable garden. Tomatoes are planted in 1/3 of the circular garden, carrots are planted in 2/5 of the circular garden, and green peppers are planted in 1/10 of the circular garden.

What fraction represents the remaining unplanted space of the circular garden?

(Write the answer as a fraction in lowest terms. )

Correct answer:

x =  0.1667

Step-by-step explanation:

$$\begin{gathered} p={\displaystyle \frac{1}{3}}+{\displaystyle \frac{2}{5}}+{\displaystyle \frac{1}{10}}={\displaystyle \frac{5}{6}}\doteq 0.8333 \\ x=1-p=1-0.8333={\displaystyle \frac{1}{6}}=0.1667 \end{gathered}$$

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